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Finding the Fourth Proportional to 1,567.65, 2,351.78 and 471.93

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Solution

The fourth proportional to 1,567.65, 2,351.78 and 471.93 is: 707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.65 : 2,351.78 = 471.93 : x
  2. Step 2: Convert to fraction form
    1,567.65/2,351.78 = 471.93/x
  3. Step 3: Cross multiply
    1,567.65x = 2,351.78 × 471.93
  4. Step 4: Simplify right side
    1,567.65x = 1,109,873.18
  5. Step 5: Solve for x
    x = 1,109,873.18/1,567.65
  6. Step 6: Final answer
    x = 707.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.